I think the principle of "my right to swing my fist ends at your nose" excludes WMDs.
Consider this:
Let us suppose I own a hypothethical collection of weaponry extending through all the items in tyme's list (oh, if only).
I could, in theory, have access to a secure location where I could fire off almost all of these weapons without any harm to Tyme, or anybody else. I could also potentially use them in self-defense and avoid damage to innocent civilians (say, mowing down hordes of Mutant Zombie Bikers with an MK-19).
But it is not possible for me to utilize a nuke in this fashion, because the fallout will inevitably negatively affect Tyme, and all the other people on Earth. Any use of a nuke, even on a far-off isolated island, harms innocents, and plants my hypothethical fist firmly in everybody else's nose.
Ergo, no nukes.